This application is a division of application Ser. No. 381,050 filed July 20, 1973 and now U.S. Pat. No. 3,955,820 issued May 11, 1976, which in turn was a continuation-in-part of application Ser. No. 311,821 filed Dec. 4, 1972 and now abandoned which in turn was a continuation-in-part of application Ser. No. 146,255 filed May 24, 1971 and now abandoned and application Ser. No. 106,690 filed Jan. 15, 1971 and now abandoned.
The present invention relates to a golf club "iron" with a club head made of steel and having a relatively high radius of gyration about an axis passing through the center of gravity of the club head and parallel to the club head shaft, said high radius of gyration being provided by dense material included within the confines of the club head preferably at the heel and toe areas thereof.
It has previously been suggested that maximizing the moment of inertia about an axis passing through the centroid of the club head and being perpendicular to the sole of the club head will provide a club with reduced hooking and slicing characteristics. In accordance with the present invention, the applicants have devised a new and useful structure which will not only reduce the hooking and slicing attendant with the game of golf but will also maintain conventional club head characteristics including appearance, "feel", balance and the like and will satisfy United States Golf Association Rules of Golf.
In accordance with the present invention, the golf club head is made of steel as opposed to lighter metals which tend to destroy feel. At least one concentrated weight is embedded in the back of the head whereby a relatively high radius of gyration is imparted to the golf club head. Preferably, the steel club head is made with embedded concentrated weights in both the heel and toe areas with a hollowed out back and with the entire back of the club head forward of a line located on one side of an area defined by a plane which is parallel to the axis of the golf club shaft and tangential to the top of the back of the club head.
In all cases, club heads according to the present invention have a radius of gyration above about 1.05 inches and preferably above 1.10 inches about an axis which is parallel to the shaft and which passes through the centroid (center of mass) of the club head. A suitable method for measuring this radius of gyration is based on the standard torsional pendulum test for measuring moment of inertia. The radius of gyration can be defined by the following formula: ##EQU1## wherein K is the radius of gyration about an axis which passes through the centroid of the club head and is parallel to the axis of the golf club shaft, I is the moment of inertia of the club head about the same axis and M is the mass of the club head. The club head is defined as the weight of a golf club below a point located about 5 inches up the golf club shaft from the heel. In determining the moment of inertia of the club head, the centroid of the club head is first located in known manner. A point is then selected along an axis which passes through the centroid of the club head and is parallel to the axis of the golf club shaft. The club head is suspended from this point by one or more wires or other suitable means which maintain the club head in proper position for measuring its radius of gyration about an axis parallel to the axis of the shaft and which passes through the centroid of the club head. The moment of inertia of the club head is then determined in known manner with respect to the axis which passes through the centroid. When the moment of inertia is thus determined and the mass of the club head is determined, the radius of gyration can be computed according to the formula given hereinabove.
Best results are achieved when the improvements of the present invention are embodied in a correlated plurality or set of clubs which in general comprise a selected set of irons such as a complete set of the 2 through 10 irons or a beginner's set of irons such as the 3, 5, 7, and 9 irons or any other selected combination of three or more irons. The radius of gyration of the club head for each of the selected irons in a correlated set is within the ranges as set out in Table I below:
              TABLE I                                                     ______________________________________                                                  MINIMUM RADIUS                                                                         MAXIMUM RADIUS                                               OF GYRATION  OF GYRATION                                    IRON          (inches)     (inches)                                       ______________________________________                                    2             1.06         1.17                                           3             1.07         1.18                                           4             1.08         1.19                                           5             1.09         1.20                                           6             1.10         1.21                                           7             1.11         1.22                                           8             1.12         1.23                                           9             1.13         1.24                                           10 (pitching wedge)                                                                     1.14         1.25                                           ______________________________________
The radius of gyration for each club in increasing numerical order is preferably higher than the radius of gyration of the previous club in the set. It will be understood that it is not necessary to include all of the clubs in the set and that advantage is obtained in a set when at least any three of the clubs including at least one of the 2, 3, and 4 irons have the radius of gyration as set out above.
The weight of the club head will generally be the same as conventional club heads. This will generally be from about 4 to about 12 ounces for the 2 iron and from about 6 to about 16 ounces for the 9 iron and best results are obtained with a club head weight of from about 7 to about 9 ounces for a 2 iron and from about 9 to about 11 ounces for the 9 iron with the rest of the clubs having a weight therebetween, the weight of each successive club head increasing in numerical order from the 2 iron to the 9 iron.
It is pointed out that in the present invention the weight distribution is determined by the radius of gyration and not solely by the moment of inertia. While it has been suggested in the prior art that the moment of inertia of a club head should be increased in order to reduce hooking and slicing, the mere addition of weights to the club head has never been practical since merely increasing the moment of inertia of the club head by adding weight tends to make the club head too heavy and virtually unplayable. In contrast to this, the applicants have discovered that when the radius of gyration is increased in accordance with the teaching of the present invention, these problems are not encountered and conventional characteristics such as desirable swing weight can be obtained for the correlated set of clubs even where the club heads are made of steel. It should additionally be noted that the applicants are concerned with the radius of gyration about an axis which is parallel to the shaft as opposed to prior art patents which are concerned with an axis perpendicular to the sole. The applicants have discovered that it is the axis parallel to the shaft which gives the best results since this is the axis about which all of the action of a club head takes place.
When the radius of gyration is maintained within the limits as set out in this specification, many desirable results are obtained. There is less of a tendency for hooking and slicing the ball when the ball hits the club face other than on the center of gravity. Furthermore, there is less loss of distance with a ball hit away from the center of gravity. And, most importantly, these and other advantageous results can be obtained in accordance with the present invention with club heads which have conventional appearance, good feel, and conventional swing weights.
These and other advantages of the present invention may be more fully understood with reference to the accompanying drawings in which like numbers are used for like parts and wherein:
FIG. 1 shows a golf club made in accordance with the present invention in use by a golfer;
FIG. 2 shows the back of a club head made in accordance with the present invention;
FIG. 3 shows a sectional view of FIG. 2 taken through line 3--3;
FIG. 4 shows the method of determining the radius of gyration; and
FIG. 5 shows a suitable placement of the weights in accordance with the present invention.
FIG. 6 shows the back of a club head made in accordance with the present invention and having only a toe weight.
In FIG. 1 there is shown agolfer 10 holding agolf club 12 in standard position for striking agolf ball 14. Thegolf club 12 has the preferred embodiment of aclub head 16 made in accordance with the present invention. The line ofsight 18 of thegolfer 10 sees the back of the top of theclub head 20 but does not see any portion of the back of theclub head 22. The reason for this is that theentire back 22 of theclub head 16 is on one side of aplane 24 which is parallel to the axis of theclub shaft 26 and is tangential to the back of the top of theclub head 20. Since there are no protrusions on the back of the club head that project out beyondplane 24, the golfer's eye is not distracted when addressing the ball in standard position. For the purposes of the present invention, the back of the club head is defined as that part of the back of the club head which is below thetop 27 of the club head.
FIG. 2 shows one way of making the back of a golf club head with the weight distributed according to the present invention. The club head is made of steel in order to maintain good feel and conventional appearance. The steel may be stainless steel, chrome plated steel, etc., and the club head may be formed by machining, investment casting or the like. The preferred form of structure illustrates one way in which the weight distribution according to the present invention is achieved by hollowing out or cutting away at least one portion of the back of the iron behind the scored area of the club face whereby the surface of the back of the club comprises one or more indentations in the center area thereof as opposed to the protrusions in the central area in conventional irons. For best results, there is provided an upper hollowed outarea 28 and a lower hollowed outarea 29 which comprise a substantial portion of the back of the club head within the area delineated by the edges of the scoredarea 30 and 32. The top of the back of theclub head 20 to whichplane 24 of FIG. 1 is tangential may be defined by the line along the top of the club head extending fromline 30 toline 32. One or more reinforcingribs 34 are preferably located in the hollowed outareas 28 and 29 in order to reinforce the club head and provide proper balance of the hollowed out areas. In a preferred embodiment of the invention, and as shown, thecenter line 36 of therib 34 essentially bisects the angle θ made by aline 38 passing through the back of the top of theclub 20 and aline 40 passing through the back of the bottom of the lower hollowed outarea 29. When the center of the rib is located along this line, it is highly advantageous since this is the area in which most golf balls are struck and thus the reinforcing rib reinforces the golf club head at the place where greatest stress is put upon it. With the rib located in this area, the club also has the advantage of a solid feel and proper balance when the ball is hit. While this is the preferred location for the reinforcing rib, it is to be understood that the reinforcing rib could be in an X shape in which case there could be four hollowed out areas or in any other desired shape or there could be no rib at all. The only requirement is that the club head be strong enough to preserve its structural integrity under normal playing conditions.
Weights 44 and 46 are shown inserted intosockets 31 and 47 which are in the steel in the back of the toe and the heel of the club head respectively. These weights are made of a material which has a density of at least 16 grams per cubic centimeter and are thus considerably more dense than the steel of which theclub head 16 is made. Suitable weighting materials include tungsten, depleted uranium and other known materials having the specified density.
It has been found that it is necessary for there to be added weight in the toe (See FIG. 6) in order to give the club the best feel and handling characteristics. In the preferred form of structure shown, the closest point of thesocket 31 for the addedweight 44 is at least 1/16 inch from thetop periphery 33 of the toe and should also be at least 1/16 inch from thesole periphery 35 of the toe. In addition, the closest point of thesocket 31 for the addedweight 44 should be at least 1/32 inch but not more than 3/4 inch away from theouter periphery 37 of the toe. For best results, the distance from the top and sole peripheries should be at least 1/8 inch, the distance from the outer periphery should be at least 1/16 inch and the maximum distance from the outer periphery should be no more than 1/2 inch. Furthermore, the closest point of thesocket 31 is preferably spaced in longitudinal direction from thecenter 56 of the club head, and for best results this distance should be at least 1/2 inch. It will be apparent to those skilled in the art that more than a single toe weight could be used, if desired, to achieve the same result. However, even where a plurality of toe weights are used, the distances set out hereinbefore should still be followed.
It is also preferable to have aheel weight 46. While the heel weight is shown on the back of the club head insocket 47, it is to be understood that this heel weight can be located in the bottom 48 of the hoselshaft receiving hole 50.
The center of mass of the club head is preferably located at apoint 56 which is approximately equidistant betweenlines 30 and 32. In order to locate the center of mass at this point, and still maintain the other desirable features of the present invention, the mass of theweight 44 located in the toe area of each club in the set should be at least two times as great as the mass of theweight 46 added in the heel area and preferably three times as great. It has further been found that for best results the center of the weights should be located alongline 36 since, as previously mentioned, this is the line along which most shots are hit.
Theweights 44 and 46 are preferably made of tungsten alloys and for best results the tungsten alloyed weights should contain between about 85% and 95% tungsten. If the percentage of tungsten is greater than about 95%, the weights become brittle and are not easily fabricated. On the other hand, if the percentage of tungsten is less than about 85%, then there is significantly less advantage since the mass of the tungsten alloy will not be sufficiently greater than the steel club head. Because of the high density of the added material according to the present invention, sufficient dense material can be embedded in the heel and toe areas of the club head so that it is not necessary to provide a hollowed out area on the back of the club but yet it is still possible to achieve a club having the radius of gyration of the present invention and having the entire back of the club head forward of the golfer's line of sight.
The added weight is useful not only for achieving the desired radius of gyration of the club head but can also be used to achieve the desired swing weight. As is well known in the art, the swing weight of a golf club is the moment of the club weight about apoint 12 inches from the end of the club at the grip end. The method of determining swing weight is found, for example, in The Search For The Perfect Swing, J. B. Lippincott Co., Philadelphia and New York, 1968, especially pages 214-216, by Alastair J. Cochran and John Stobbs. This swing weight system basically comprises a measurement of the club weight, determining where its center of gravity is, measuring the distance between the center of gravity and apoint 12 inches from the end of the club at the grip end and then multiplying this distance by the total weight of the club to obtain a moment of inertia figure. It is common practice to perform this measurement on a swing weight machine specially designed to make this measurement. This swing weight machine is commonly available throughout the country and is sold under the trademark Lorythmic. It has a scale with letter designations corresponding to the moment result and this scale, as is well known, commonly runs from C0 to E5. Most manufacturers who adjust swing weight do so by adding or removing weight from the club head. In accordance with the present invention this may be accomplished by varying the size of the added weight (44 and 46 in FIG. 2). Swing weights are relatively minor graduations and therefore adjustment of the addedweights 44 and 46 to obtain the desired swing weight will not substantially affect the radius of gyration of the club head.
In FIG. 3 is shown a sectional view of FIG. 2 taken through line 3--3. As there shown,rib 34 extends through hollowed outareas 28 and 29 essentially in the middle of theclub head face 58.Plane 24 is shown tangential to the top of the back of theclub head 20 and parallel to the axis of theshaft 26. The thickness of the club head face atpoints 60 and 62 is preferably at least about 0.15 inches since otherwise there may be an undesirable "pinging" sound when the club makes contact with the ball. The weights are preferably embedded in the back of the club and positioned as close to the striking surface as possible. In this way the weight is concentrated behind the shot and gives excellent feel to the club as well as maintaining conventional appearance.
In FIG. 4 shows the way in which the radius of gyration of the club head may be calculated in accordance with the present invention. By the term club head it is intended to mean the weight of a golf club which is below apoint 64. Thepoint 64 is located about 5 inches up thegolf club shaft 12 from theheel 54. It will thus be understood that the term club head may encompass a hosel which is separate from the rest of the club head and may also encompass a heavy shaft belowpoint 64 or any separate weight added in the shaft belowpoint 64. According to the present invention, the correct weight distribution of the club head as hereinabove defined is determined by the radius of gyration of the club head about theaxis 66. Theaxis 66 is parallel to theshaft 12 and it passes through thecentroid 56 of the club head as set forth above. As previously mentioned, the radius of gyration can be defined by the following formula: ##EQU2## wherein K is the radius of gyration about a specific axis, I is the moment of inertia of the club head about the same axis and M is the mass of the club head. In determining the moment of inertia of the club head, thecentroid 56 of the club head is first located in known manner. For purposes of the present invention, the centroid of the club head is defined as the center of mass of the club head and in FIG. 5 is shown atpoint 56. Apoint 68 is then selected along theaxis 66 which is preferably within the area of the club head and above thecentroid 56.Point 68 may be located anywhere online 66 but is preferably above the point of the centroid. Whenpoint 68 has thus been selected, the club head is suspended atpoint 68 by one or more wires or other suitable means which maintain the club head parallel toshaft 12. The moment of inertia of the club head is then determined in known manner with respect to theaxis 66. When the moment of inertia is thus determined and the mass of the club head is determined, the radius of gyration can be computed according to the formula given hereinabove. If the radius of gyration is not in accordance with the present invention, then weight is added or redistributed in the general areas of the toe and the heel and hosel of the club head until the desired radius of gyration is achieved. This redistribution of weight to the club head to achieve the desired radius of gyration is well within the skill of the art and can suitably be accomplished by means of added tungsten weights. When the weight is so distributed that the radius of gyration is within the present invention, the club head can be fashioned in any suitable design which the maker considers commercially acceptable.
In FIG. 5 there is shown a scale model of the golf club head of a number 3 iron.Hollows 28 and 29 are provided in the back of the club head of a depth corresponding to the depths of the hollows in FIG. 3.Tungsten weights 44 and 46 with their centers alongline 36 are embedded in the back of theclub head 16. The distance between the center 70 of theweight 46 and the center 72 of theweight 44 is suitably 21/4 inches. The centers 70 and 72 of the weights are equally spaced alongline 36 from the center ofgravity 56 of the club head.
It will be understood that other clubs in the set from the 2 through the 10 can be made in the same manner as shown in FIG. 5 for the 3 iron. Generally, the height of the toe, i.e.,distance 74, will increase as the number of the iron increases. Thus the 2 iron will have thesmallest distance 74 and the 10 iron will have the largest distance. Thedistance 74 for the 3 iron shown is suitably 17/8 inches. For a 7 iron asuitable distance 74 is 2 inches and other irons will have adistance 74 in proper proportion as is well known in the art.
In Table I there was given a range of minimum and maximum radii of gyration for each of the various club heads. When the club heads have the appearance of FIG. 5 and the club has a D2 swing weight, the added weight can be 90% tungsten alloy weights and suitable weight values are shown in Tables II and III. Tables II and III also show suitable club head weights, moments of inertia, in addition to heel and toe weight values and radii of gyration in accordance with the present invention. It is to be understood that these tables are only examples and are not intended to limit the invention. The preferred embodiment of the present invention is where the radius of gyration is at a maximum as shown in Table III.
In each case, the weights were positioned in accordance with FIG. 5. More specifically, the centers of the weights were located alongline 36 of FIG. 5, the centers of the weights were spaced 21/4 inches from each other and the centers of the weights were equally spaced from the center ofgravity 56. The center of gravity in the tables is for the finished club head including the added tungsten weights.
              TABLE II                                                    ______________________________________                                          D2 (oz)                                                                   Typical Wt.                                                               (finished,                                                          IRON  not attached                                                                          k Min.  I (in.sup.2                                                                      Toe Wt.                                                                          Heel Wt.                          NO    to shaft)   (in.)   oz)    (oz)   (oz)                              ______________________________________                                    2     8.44        1.06     9.48  .65    .25                               3     8.68        1.07     9.94  .65    .25                               4     8.96        1.08    10.45  .65    .25                               5     9.22        1.09    10.05  .65    .25                               6     9.41        1.10    11.39  .65    .25                               7     9.58        1.11    11.80  .65    .25                               8     9.87        1.12    12.38  .65    .25                               9     10.14       1.13    12.95  .65    .25                               10    10.29       1.14    13.37  .65    .25                               ______________________________________
              TABLE III                                                   ______________________________________                                          D2 (oz)                                                                   Typical Wt.                                                               (finished,                                                          IRON  not attached                                                                          k Max.  I (in.sup.2                                                                      Toe   Heel                               NO    to shaft)   (in)    oz)    Wt.   Wt.                                ______________________________________                                    2     8.44        1.17    11.55  .90   .25                                3     8.68        1.18    12.09  .90   .25                                4     8.96        1.19    12.69  .90   .25                                5     9.22        1.20    13.28  .90   .25                                6     9.41        1.21    13.78  .90   .25                                7     9.58        1.22    14.26  .90   .25                                8     9.87        1.23    14.93  .90   .25                                9     10.14       1.24    15.59  .90   .25                                10    10.29       1.25    16.08  .90   .25                                ______________________________________
It will be understood that the claims are intended to cover all changes and modifications of the preferred embodiment of the invention, herein chosen for the purpose of illustration, which do not constitute departures from the spirit and scope of the invention.